Graphing Rational Functions through Transformations

Graphing Rational Functions through Transformations

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Ethan Morris

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical asymptote of the function f(x) = 1/x?

x = 0

x = 1

y = 0

y = 1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the horizontal asymptote of f(x) = 1/x?

By finding the x-intercept

By setting the denominator equal to zero

By comparing the degrees of the numerator and denominator

By setting the numerator equal to zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal asymptote of the function f(x) = 1/x?

x = 1

y = 0

x = 0

y = 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which x-values are used to plot points for the function f(x) = 1/x?

-1, 0, 1

-2, -1, 1, 2

-2, -1, 0, 1, 2

-3, -2, -1, 0, 1, 2, 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value when x = -2 for the function f(x) = 1/x?

-1/2

-2

1/2

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of f(x) = 1/x as it approaches the vertical asymptote?

It crosses the asymptote

It touches the asymptote

It approaches but never touches the asymptote

It moves away from the asymptote

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the horizontal shift for the transformation g(x) = 1/(x+2) - 1?

Right 2 units

Down 2 units

Left 2 units

Up 2 units

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